The renewed CDF II experiment recently re-started data taking. The data collected lately already provides insight in the heavy flavor capabilities of this p anti-p experiment. As a benchmark of these possibilities we present two preliminary results: the measurement of the branching fractions BR (D0 --> pi+ pi-) and BR (D0 --> K+ K-) relative to BR (D0 --> K+/- pi-/+) and the measurement of the invariant mass difference between D+/-_s --> phi pi+/-, phi --> K+ K- and D+/- --> phi pi+/-, phi --> K+ K-. The preliminary results are BR(D0 --> pi+ pi-)/BR (D0 --> K+/- pi-/+) = 3.37 +/- 0.20(stat) +/- 0.16(sys) %, BR(D0 --> K+ K-)/BR(D0 --> K+/- pi-/+) = 11.17 +/- 0.48(stat) +/- 0.98(sys) % and Delta m (D_s - D+) = 99.28 +/- 0.43(stat) +/- 0.27(sys) MeV/c2. All results are consistent with PDG expectation.